Estimation of the uniform norm of one-dimensional Riesz potential of a partial derivative of a function with bounded Laplacian

  • V. F. Babenko
  • N. V. Parfinovych Днепропетр. нац. ун-т

Abstract

We obtain new exact Landau-type estimates for the uniform norms of one-dimension Riesz potentials of the partial derivatives of a multivariable function in terms of the norm of the function itself and the norm of its Laplacian.
Published
25.07.2016
How to Cite
BabenkoV. F., and ParfinovychN. V. “Estimation of the Uniform Norm of One-Dimensional Riesz Potential of a Partial Derivative of a Function With Bounded Laplacian”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, no. 7, July 2016, pp. 867-78, http://umj.imath.kiev.ua/index.php/umj/article/view/1887.
Section
Research articles